IMAR MARIUS BULIGA

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  • Domaines de recherche, quelques articles:
  • Analyse et géométrie des espaces métriques, géométrie sub-riemannienne:
    • Infinitesimal affine geometry of metric spaces endowed with a dilatation structure, Houston Journal of Mathematics, 36, 1 (2010), 91-136, (journal) (arxiv)
    • Dilatation structures I. Fundamentals. J. Gen. Lie Theory Appl. Vol 1 (2007), No 2, 65-95., (journal) (arxiv)
    • A characterization of sub-riemannian spaces as length dilatation structures constructed via coherent projections, soumis en 2008, (arxiv)
    • un projet de recherche accepté pour une visite a IHES en fev.-mars 2010 (file)
  • Convexité, quasiconvexité, avec applications:
    • Hamiltonian inclusions with convex dissipation with a view towards applications, Mathematics and its Applications 1, 2 (2009), 228-251, (journal) (arxiv)
    • Bipotentials for non monotone multivalued operators: fundamental results and applications, avec Gery de Saxcé et Claude Vallée, Acta Applicandae Mathematicae, 110, 2(2010), 955-972 (journal) (arxiv)
    • Non maximal cyclically monotone graphs and construction of a bipotential for the Coulomb's dry friction law, avec Gery de Saxcé et Claude Vallée, J of Convex Analysis, 17 (2010), No. 1, 81-94 (journal) (arxiv)
    • Four applications of majorization to convexity in the calculus of variations, Linear Algebra and its Applications 429, 2008, 1528-1545, (journal) (file)
    • Lower semi-continuity of integrals with G-quasiconvex potential, Z. Angew. Math. Phys., 53, 6 (2002), pp 949-961, (journal) (file)
  • Fissuration fragile par la fonctionnelle Mumford-Shah:
    • Energy Minimizing Brittle Crack Propagation, J. of Elasticity, 52, 3 (1999) (submitted in 1997), pp 201-238, (journal) (file)
    • Equilibrium and absolute minimal states of Mumford-Shah functionals and brittle fracture propagation, soumis, (arxiv)